[nextstep]

Now, it seems pretty reasonable to assume that if Marketly is sending a takedown to Google to get such a link taken out of its search engine, on behalf of Microsoft, that it quite likely is issuing the same kind of takedown to Microsoft's Bing (hell, you'd perhaps think that Microsoft could just pull the link without a takedown).

I doubt that Microsoft is streamlined enough to allow different departments (Bing and whomever handles DMCAs) to effectively communicate. Microsoft is an immense bureaucracy.